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Summary

These commas are called "unnoticeable" because, being equal to or less than 3.5 cents, they are smaller than the average peak JND (just-noticeable difference) of human pitch perception, as illustrated by the research of Aaron Andrew Hunt. It is improbable that even a trained listener would be able to notice these intervals, and as such they a prime target for psychoacoustically informed microtempering.

List of commas, by prime limit

3-limit commas

name(s)
monzo
cents
Sasktel comma, 51-Pythagorean comma
| 485 -306 >
1.770
Satanic comma
| -1054 665 >
0.076

5-limit commas

name(s)
monzo
cents
56-syntonic comma
| 225 -224 56 >
1.431
rubidia
| -67 -9 35>
3.385
vishnuzma, semisuper
| 23 6 -14 >
3.338
enneadeca, 19-tone-comma
| -14 -19 19 >
2.816
vavoom
| -68 18 17 >
2.523
tricot comma
| 39 -29 3 >
2.246
schisma
| -15 8 1 >
1.954
counterschisma
| -69 45 -1 >
1.661
septendecima
| -52 -17 34 >
1.431
hemithirds comma, lunama
| 38 -2 -15 >
1.384
minortone comma
| -16 35 -17 >
1.092
ennealimma
| 1 -27 18 >
0.862
astro
| 91 -12 -31 >
0.815
kwazy
| -53 10 16 >
0.569
whoosh
| 37 25 -33 >
0.522
egads
| -36 -52 51 >
0.339
monzisma
| 54 -37 2 >
0.292
fortune
| -107 47 14 >
0.277
gross
| 144 -22 -47 >
0.245
senior
| -17 62 -35 >
0.230
raider
| 71 -99 37 >
0.062
pirate
| -90 -15 49 >
0.047
viking
| -251 69 61 >
0.032
atom
| 161 -84 -12 >
0.015
selenia
| -433 -137 280 >
0.004764
titania
| 2746 -521 -827 >
0.003183
quark
| -573 237 85 >
0.000884
scamp
| -5836 4293 -417 >
0.000033
rover
| 1634 1502 -1729 >
0.000028
rascal
| -7470 2791 1312 >
0.000006

7-limit commas

name(s)
ratio
monzo
cents
44-septimal comma

| -263 88 0 44 >
0.294
horwell
65625 / 65536
| -16 1 5 1 >
2.349
meter

| -11 2 7 -3 >
1.628
wizma

| -6 -8 2 5 >
1.117
breedsma
2401 / 2400
| -5 -1 -2 4 >
0.721
ragisma
4375 / 4374
| -1 -7 4 1 >
0.396
akjaysma, 5\7 octave comma

| 47 -7 -7 -7 >
0.338
landscape

| -4 6 -6 3 >
0.325
starscape

| -4 17 1 -9 >
0.116
euzenius

| 3 -13 10 -2 >
0.070
termite

| 9 -28 37 -18 >
1.072 * 10^-3
neutrino

| 1889 -2145 138 424 >
1.636 * 10^-10

11-limit commas

name(s)
ratio
monzo
cents
11-cycle schisma, 37-11-comma

| 128 0 0 0 -37 >
1.236
swetisma
540 / 539
| 2 3 1 -2 -1 >
3.209
wizardharry
4000 / 3993
| 5 -1 3 0 -3 >
3.032
vishdel
5632 / 5625
| 9 -2 -4 0 1 >
2.153
sesdecal

| -4 1 7 0 -4 >
0.879
hemigail
43923 / 43904
| -7 1 0 -3 4 >
0.749
lehmerisma
3025 / 3024
| -4 -3 2 -1 2 >
0.572
kalisma, Gauss' comma
9801 / 9800
| -3 4 -2 -2 2 >
0.177
odiheim

| -1 2 -4 5 -2 >
0.149
parimo

| -1 -11 -1 0 6 >
0.089
ultimo

| -2 2 2 -7 4 >
0.028

13-limit commas

name(s)
ratio
monzo
cents
tunbarsma
625 / 624
| -4 -1 4 0 0 -1 >
2.772
island comma
676 / 675
| 2 -3 -2 0 0 2 >
2.563
squbema
729 / 728
| -3 6 0 -1 0 -1 >
2.376
petrma
2200 / 2197
| 3 0 2 0 1 -3 >
2.362
nicola
1575 / 1573
| 0 2 2 1 -2 -1 >
2.200
sinbadma
1001 / 1000
| -3 0 -3 1 1 1 >
1.730
cantonisma
10985 / 10976
| -5 0 1 -3 0 3 >
1.419
lummic
1716 / 1715
| 2 1 -1 -3 1 1 >
1.009
ibnsinma
2080 / 2079
| 5 -3 1 -1 -1 1 >
0.833
schismina
4096 / 4095
| 12 -2 -1 -1 0 -1 >
0.423
leprechaun comma
4225 / 4224
| -7 -1 2 0 -1 2 >
0.410
jacobin
6656 / 6655
| 9 0 -1 0 -3 1 >
0.260
harmonisma
10648 / 10647
| 3 -2 0 -1 3 -2 >
0.163
chalmersima

| -6 6 -2 -1 -1 2 >
0.014

17-limit commas

name(s)
ratio
monzo
cents
xenisma
2058 / 2057
| 1 1 0 3 -2 0 -1 >
0.841
flashma
12376 / 12375
| 3 -2 -3 1 -1 1 1 >
0.140
sparkisma
14400 / 14399
| 6 2 2 -1 -2 0 -1 >
0.120
scintillisma

| -4 4 -1 4 -1 -1 -1 >
0.009

19-limit commas

name(s)
ratio
monzo
cents
Hunt 19-minor mediant comma
513 / 512
| -9 3 0 0 0 0 0 1 >
3.378
password
1216 / 1215
| 6 -5 -1 0 0 0 0 1>
1.424
Blumeyer comma
2432 / 2431
| 7 0 0 0 -1 -1 -1 1 >
0.712
19-limit decimill

| 9 -3 -3 -2 0 0 1 1>
0.010